days. The A and B together can complete a 3 piece of work in 27+3/7 work was completed by A and B in 12+4/5 days with the help of c. c is C 2 66+2/3% more efficient than D who 3 is 20% more efficient than A. Find the number of days in which B alone can complete the whole work.
A और B एक साथ किसी कार्य को 27 7 दिनों में समाप्त कर सकते हैं। c की मदद से 4 A और B द्वारा कार्य को 12 5 दिनों में 3 2 पूरा किया गया। D की तुलना में c, C,66-% अधिक कुशल है जो A की तुलना में 20% अधिक कुशल है। उन दिनों की संख्या ज्ञात करें जिसमें B अकेले कार्य पूरा कर सकता है। (a)84 (b) 50 (c)46 (d) None of these
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A is more efficient than B.
A and B working together can do a piece of work in 45 days.
Concept Used∶
Ratio of efficiency is inverse of ratio of time taken.
Calculations∶
= 2 / 3
Now, A | B
Efficiency - 5 ∶ 3
Time - 3 ∶ 5
F2 Vaibhav 29.12.20 Pallavi D1
A’s one day work = 5 units / day
B’s one day work = 3 units / day
(A + B)’s one day work = 8 units / day
According to question, A and B working together complete the work in 45 days
⇒ x = 24
Now total work = 15x
⇒ 15 × 24 = 360 units
Time taken by B to complete the work alone = 360 / 3
⇒ 120 days.
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